Statistics Probability
An event must be independent of its complement.
false
If A and B are mutually exclusive, then and must be also mutually exclusive
false
If two events are collectively exhaustive they must also be mutually exclusive.
false
If two events are mutually exclusive they must also be collectively exhaustive.
false
If two events are mutually exclusive they must also be independent.
false
The individual probabilities of a pair of events cannot sum more than 1.
false
The probability of the intersection of two events cannot exceed the product of their individual probabilities
false
An event and its complement are mutually exclusive.
true
If an event and its complement are equally likely to occur, the probability of that event must be 0.5.
true
The complement of the union of two events is the intersection of their complements.
true
The conditional probability of A given B must be at least as large as the probability of the intersection of both events.
true
The probability of the intersection of two events cannot be greater than either of their individual proba- bilities.
true
The probability of the union of two events cannot be less than the probability of their intersection.
true
The probability of the union of two events cannot be more than the sum of their individual probabilities.
true
If A and B are two events, the probability of A given B is the same as the probability of B given A if the probability of A is equal to the probability of B.
true (P(A|B) = A ∩ B / B and P(B|A) = A ∩ B/A they, obviously, coincide if P(A) = P(B).
